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Zbl 1218.92038
Tenreiro Machado, J.A.; Costa, António C.; Quelhas, Maria Dulce
Fractional dynamics in DNA. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 2963-2969 (2011). ISSN 1007-5704

Summary: This paper addresses the DNA code analysis in the perspective of dynamics and fractional calculus. Several mathematical tools are selected to establish a quantitative method without distorting the alphabet represented by the sequence of DNA bases. The association of Gray code, Fourier transform and fractional calculus leads to a categorical representation of species and chromosomes.
MSC 2000:
*92C40 Biochemistry, etc.
37N25 Dynamical systems in biology
37F99 Complex dynamical systems

Keywords: chromosome; phylogenetics; Fourier transform; fractional calculus

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